A survey of recent results on congruence lattices of lattices

Jiri Tuma (1) , Friedrich Wehrung (2)

1 MFF-UK - Department of Algebra
2 LMNO - Laboratoire de Mathématiques Nicolas Oresme

We review recent results on congruence lattices of (infinite) lattices. We discuss results obtained with box products, as well as categorical, ring-theoretical, and topological results.

Mots clés: regular ring; locally matricial ring; dual topological space.; Lattice; congruence; box product; partial lattice; amalgamation

Mots clés: dual topological space

Domaines: Mathématiques générales [math.GM]

Jiri Tuma, Friedrich Wehrung. A survey of recent results on congruence lattices of lattices. Algebra Universalis, 2002, 48 (4), pp.439--471. ⟨10.1007/s000120200011⟩. ⟨hal-00004020⟩